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Dynamical zeta functions, Nielsen theory, and Reidemeister torsion /
In the paper we study new dynamical zeta functions connected with Nielsen fixed point theory. The study of dynamical zeta functions is part of the theory of dynamical systems, but it is also intimately related to algebraic geometry, number theory, topology and statistical mechanics. The paper consis...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
2000.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 699. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | In the paper we study new dynamical zeta functions connected with Nielsen fixed point theory. The study of dynamical zeta functions is part of the theory of dynamical systems, but it is also intimately related to algebraic geometry, number theory, topology and statistical mechanics. The paper consists of four parts. Part I presents a brief account of the Nielsen fixed point theory. Part II deals with dynamical zeta functions connected with Nielsen fixed point theory. Part III is concerned with analog of Dold congruences for the Reidemeister and Nielsen numbers. In Part IV we explain how dynamical zeta functions give rise to the Reidemeister torsion, a very important topological invariant which has useful applications in knots theory, quantum field theory and dynamical systems. |
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| Notas: | "Volume 147, number 699 (third of 4 numbers)." |
| Descripción Física: | 1 online resource (xi, 146 pages) |
| Bibliografía: | Includes bibliographical references (pages 138-146). |
| ISBN: | 9781470402907 1470402904 |
| ISSN: | 1947-6221 ; 0065-9266 |